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12353031504 = 243211172831621
BaseRepresentation
bin10111000000100110…
…00100110101010000
31011212220102000112100
423200103010311100
5200244334002004
65401440200400
7615056015052
oct134023046520
934786360470
1012353031504
115269a67450
122489009100
13121b33c7c8
148528778d2
154c4757739
hex2e04c4d50

12353031504 has 240 divisors, whose sum is σ = 40098487104. Its totient is φ = 3508531200.

The previous prime is 12353031463. The next prime is 12353031517. The reversal of 12353031504 is 40513035321.

12353031504 is a `hidden beast` number, since 123 + 5 + 3 + 0 + 31 + 504 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7619814 + ... + 7621434.

Almost surely, 212353031504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12353031504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20049243552).

12353031504 is an abundant number, since it is smaller than the sum of its proper divisors (27745455600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12353031504 is a wasteful number, since it uses less digits than its factorization.

12353031504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1946 (or 1937 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

Adding to 12353031504 its reverse (40513035321), we get a palindrome (52866066825).

The spelling of 12353031504 in words is "twelve billion, three hundred fifty-three million, thirty-one thousand, five hundred four".